Linear system reduction by impulse energy approximation

T. Nigel Lucas

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


A method is given for linear system reduction which is a more general form of the Routh method. The reduced models retain stability, and a fuller contribution is made to the impulse response energy of the reduced system by appropriate selection of retained alpha and beta parameters. It requires no more computation than the Routh method and can be presented in a compact tabular form. Examples are given to illustrate the method.
Original languageEnglish
Pages (from-to)784-786
Number of pages3
JournalIEEE Transactions on Automatic Control
Issue number8
Publication statusPublished - Aug 1985


  • Approximation methods
  • Frequency domain analysis
  • Linear systems
  • Mathematical model
  • Mathematics
  • Refining
  • Stability
  • Steady-state
  • Transfer functions


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